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Finding the Fourth Proportional to 2,259.74, 3,389.62 and 797.96

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Solution

The fourth proportional to 2,259.74, 3,389.62 and 797.96 is: 1,196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.74 : 3,389.62 = 797.96 : x
  2. Step 2: Convert to fraction form
    2,259.74/3,389.62 = 797.96/x
  3. Step 3: Cross multiply
    2,259.74x = 3,389.62 × 797.96
  4. Step 4: Simplify right side
    2,259.74x = 2,704,781.18
  5. Step 5: Solve for x
    x = 2,704,781.18/2,259.74
  6. Step 6: Final answer
    x = 1,196.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.